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A current of 1.70A is passed trhough 300...

A current of `1.70A` is passed trhough `300.0 mL` of `0.160M` solution of `ZnSO_(4)` for `230s` with a current efficiency of `90%`. Find out the molarity of `Zn^(2+)` after the deposition of `Zn`. Assume the volume of the solution to remain constant during the electrolysis.

Text Solution

Verified by Experts

The correct Answer is:
`0.154M`
`I=(1.70xx90)/(100)A`
`:.` Equivalent of `Zn^(2+)` lost `=(It)/(96500)`
`=(1.70xx90xx230)/(100xx96500)`
`=3.646xx10^(-13)`
Milliequivalent of `Zn^(2+)` lost `=3.646xx10^(-3)`
Initially milliequivalent of `Zn^(2+)=300xx0.160xx2=96`
`( :. Mxx2=N fo r Zn^(2+)impliesmEq=NxxV_((mL)))`
`:.` Milliequivalent of `Zn^(2+)` left in solution `=96-3.646`
`=92.354`
`:. [ZnSO_(4)]=(92.254)/(2xx300)=0.154M`
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